Question

How do you solve `sinx+3=2.0816` in the interval [0,360]?

Answer 1

`x= 246.69^@, 293.31^@`

Explanation:

`sinx+3=2.0816`

`sinx= -0.9184`

`x = -66.69`

We know that `sinx` is periodic every `360^@`, so the first valid value of `x` in our range is `360+(-66.69)=293.31^@`.

We also know that, for `x, sinx = sin(180-x)`.

So another valid value of `x` is `180-(-66.69)= 246.69^@`